152303333200 has 120 divisors (see below), whose sum is σ = 388415588472. Its totient is φ = 57192284160.

The previous prime is 152303333191. The next prime is 152303333213. The reversal of 152303333200 is 2333303251.

It is a happy number.

152303333200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9062278416 + 143241054784 = 95196^2 + 378472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2671392 + ... + 2727808.

Almost surely, 2^152303333200 is an apocalyptic number.

152303333200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152303333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194207794236).

152303333200 is an abundant number, since it is smaller than the sum of its proper divisors (236112255272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152303333200 is a wasteful number, since it uses less digits than its factorization.

152303333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56849 (or 56838 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 25.

Adding to 152303333200 its reverse (2333303251), we get a palindrome (154636636451).

The spelling of 152303333200 in words is "one hundred fifty-two billion, three hundred three million, three hundred thirty-three thousand, two hundred".